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Class 8 Maths Worksheet: Cubes and Cube Roots

Maths worksheets lesson 59: Cubes and cube roots · Set 702 · 40 sums
TalentJR

The method (Threes make cubes): Cube: n × n × n. Cube root: the number that, used three times, gives the cube. Units digits: 1→1, 2→8, 3→7, 4→4, 5→5, 6→6, 7→3, 8→2, 9→9, 0→0 — use them to guess cube roots. Make a perfect cube: break into primes; multiply by what completes each group of three (or divide by what is left over). A big cube of edge a cut into small cubes of edge b gives (a ÷ b)³ small cubes.

NameDateTime takenScore ___ / 40
  1. 1.What is ∛512? =
  2. 2.What is 16³? =
  3. 3.Which of these is a perfect cube? (a) 343 (b) 486 (c) 424
  4. 4.Which of these is a perfect cube? (a) 1524 (b) 1331 (c) 1453
  5. 5.What is 18³? =
  6. 6.A cube has a volume of 2197 cubic cm. How long is each edge (in cm)?
  7. 7.What is the smallest whole number by which 375 must be multiplied to get a perfect cube?
  8. 8.What is the smallest whole number by which 3 must be multiplied to get a perfect cube?
  9. 9.Which of these is a perfect cube? (a) 2197 (b) 2583 (c) 2571
  10. 10.A cube has a volume of 27 cubic cm. How long is each edge (in cm)?
  11. 11.What is the smallest whole number by which 625 must be divided to get a perfect cube?
  12. 12.What is ∛4096? =
  13. 13.What is the smallest whole number by which 3125 must be divided to get a perfect cube?
  14. 14.What is 12³? =
  15. 15.A big cube of edge 24 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  16. 16.A big cube of edge 9 cm is cut into small cubes of edge 3 cm. How many small cubes are there?
  17. 17.What is 6³? =
  18. 18.What is ∛5832? =
  19. 19.What is the smallest whole number by which 320 must be multiplied to get a perfect cube?
  20. 20.What is ∛64? =
  21. 21.What is the smallest whole number by which 4 must be multiplied to get a perfect cube?
  22. 22.A cube has a volume of 3375 cubic cm. How long is each edge (in cm)?
  23. 23.A big cube of edge 4 cm is cut into small cubes of edge 2 cm. How many small cubes are there?
  24. 24.A cube has a volume of 8000 cubic cm. How long is each edge (in cm)?
  25. 25.What is ∛9261? =
  26. 26.A cube has a volume of 1000 cubic cm. How long is each edge (in cm)?
  27. 27.Which of these is a perfect cube? (a) 27 (b) 38 (c) 54
  28. 28.A big cube of edge 12 cm is cut into small cubes of edge 4 cm. How many small cubes are there?
  29. 29.What is the smallest whole number by which 192 must be divided to get a perfect cube?
  30. 30.What is ∛729? =
  31. 31.What is 9³? =
  32. 32.What is ∛27? =
  33. 33.A cube has a volume of 1331 cubic cm. How long is each edge (in cm)?
  34. 34.What is the smallest whole number by which 189 must be divided to get a perfect cube?
  35. 35.What is the smallest whole number by which 648 must be divided to get a perfect cube?
  36. 36.What is the smallest whole number by which 648 must be multiplied to get a perfect cube?
  37. 37.A big cube of edge 5 cm is cut into small cubes of edge 1 cm. How many small cubes are there?
  38. 38.A cube has a volume of 512 cubic cm. How long is each edge (in cm)?
  39. 39.What is ∛2744? =
  40. 40.Which of these is a perfect cube? (a) 216 (b) 219 (c) 284

Answer key

  1. 8
  2. 4096
  3. 343
  4. 1331
  5. 5832
  6. 13
  7. 9
  8. 9
  9. 2197
  10. 3
  11. 5
  12. 16
  13. 25
  14. 1728
  15. 216
  16. 27
  17. 216
  18. 18
  19. 25
  20. 4
  21. 2
  22. 15
  23. 8
  24. 20
  25. 21
  26. 10
  27. 27
  28. 27
  29. 3
  30. 9
  31. 729
  32. 3
  33. 11
  34. 7
  35. 3
  36. 9
  37. 125
  38. 8
  39. 14
  40. 216

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